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Viefleur [7K]
3 years ago
12

HELP ME PLZ 20 POINTS AND BRAINLIEST

Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

35.9 units cubed

Step-by-step explanation:

Hello There!

The figure shown is a rectangular prism

The formula for volume of a rectangular prism is

Length times width times height

The dimensions for the shown figure are given

height = 4 1/2

length = 2 1/8

width = 3 3/4

given this information we just plug it in to the formula

so

V=3\frac{3}{4}*4\frac{1}{2} *2\frac{1}{8}

then we plug it in to a calculator and get that the volume is equal to

35.859375

finally we round to the nearest tenth and get that the volume is equal to

35.9 units cubed

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A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 380 babies were​ born, a
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Answer:

The 99​% confidence interval estimate of the percentage of girls born is (86.04%, 93.96%). Considering the actual percentage of girls born is close to 50%, the percentage increased considerably with this method, which means that it appears effective.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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This means that n = 380, \pi = \frac{342}{380} = 0.9

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9 - 2.575\sqrt{\frac{0.9*0.1}{380}} = 0.8604

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9 + 2.575\sqrt{\frac{0.9*0.1}{380}} = 0.9396

As percentages:

0.8604*100% = 86.04%.

0.9396*100% = 93.96%.

The 99​% confidence interval estimate of the percentage of girls born is (86.04%, 93.96%). Considering the actual percentage of girls born is close to 50%, the percentage increased considerably with this method, which means that it appears effective.

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3 years ago
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Step-by-step explanation:

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Answer:

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The required table is :

x        -4.916       11.832

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Answer:

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Step-by-step explanation:

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